A medical engineering company creates x-ray machines. The machines the company s

Question

A medical engineering company creates x-ray machines. The machines the company sold in 1995 were expected to last six years before breaking. To test how long the machines actually lasted, the company took a simple random sample of six machines. The company got the following results (in years) for how long the x-ray machines lasted: 8, 6, 7, 9, 5, and 7. Assume the distribution of the longevity of x-ray machines is normally distributed. Construct a 98% confidence interval for the average longevity of x-ray machines.

Explanation / Answer

for 98% and 5 degree of freedom; t=3.365

hence confidence interval =mean +/- t*std error =5.057 ; 8.943

X 8.000 6.000 7.000 9.000 5.000 7.000 mean(X) 7.000 std deviation(S) 1.414 std error =S/(n)1/2 0.577

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